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Math Problems
Grade 8
Solutions to inequalities
Which of the following values are solutions to the inequality
−
8
>
6
x
+
8
?
-8>6 x+8 ?
−
8
>
6
x
+
8
?
\newline
I.
4
4
4
\newline
II.
6
6
6
\newline
III.
−
10
-10
−
10
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
8
−
6
x
<
−
3
-8-6 x<-3
−
8
−
6
x
<
−
3
?
\newline
I.
3
II.
−
9
III.
2
\begin{array}{lll}\text { I. } 3 & \text { II. }-9 & \text { III. } 2\end{array}
I.
3
II.
−
9
III.
2
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
8
>
−
5
+
x
8>-5+x
8
>
−
5
+
x
?
\newline
I.
10
10
10
\newline
II.
5
5
5
\newline
III.
13
13
13
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
6
+
4
x
≤
−
9
6+4 x \leq-9
6
+
4
x
≤
−
9
?
\newline
I.
1
1
1
\newline
II.
−
2
-2
−
2
\newline
III.
−
1
-1
−
1
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
4
x
+
1
>
6
?
4 x+1>6 ?
4
x
+
1
>
6
?
\newline
I.
0
0
0
\newline
II.
5
5
5
\newline
III.
4
4
4
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
10
−
2
x
<
2
10-2 x<2
10
−
2
x
<
2
?
\newline
I.
6
6
6
\newline
II.
10
10
10
\newline
III.
4
4
4
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
7
<
x
−
8
7<x-8
7
<
x
−
8
?
\newline
I.
21
21
21
\newline
II.
15
15
15
\newline
III.
23
23
23
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
1
−
3
x
≤
−
1
-1-3 x \leq-1
−
1
−
3
x
≤
−
1
?
\newline
I.
−
7
-7
−
7
\newline
II.
0
0
0
\newline
III.
−
6
-6
−
6
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
10
+
3
x
≤
10
-10+3 x \leq 10
−
10
+
3
x
≤
10
?
\newline
I.
12
12
12
\newline
II.
3
3
3
\newline
III.
9
9
9
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
2
<
−
7
+
5
x
?
-2<-7+5 x ?
−
2
<
−
7
+
5
x
?
\newline
I.
7
II.
1
III.
3
\begin{array}{lll}\text { I. } 7 & \text { II. } 1 & \text { III. } 3\end{array}
I.
7
II.
1
III.
3
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
4
<
x
−
2
4<x-2
4
<
x
−
2
?
\newline
I.
1
II.
3
III.
6
\begin{array}{lll}\text { I. } 1 & \text { II. } 3 & \text { III. } 6\end{array}
I.
1
II.
3
III.
6
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
9
≥
−
7
+
4
x
?
-9 \geq-7+4 x ?
−
9
≥
−
7
+
4
x
?
\newline
I.
6
6
6
\newline
II.
−
8
-8
−
8
\newline
III.
5
5
5
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
9
≥
−
1
−
x
9 \geq-1-x
9
≥
−
1
−
x
?
\newline
I.
−
2
-2
−
2
\newline
II.
−
10
-10
−
10
\newline
III.
−
11
-11
−
11
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
10
+
6
x
≥
8
-10+6 x \geq 8
−
10
+
6
x
≥
8
?
\newline
I.
3
3
3
\newline
II.
11
11
11
\newline
III.
9
9
9
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
10
<
−
7
+
5
x
-10<-7+5 x
−
10
<
−
7
+
5
x
?
\newline
I.
4
4
4
\newline
II.
6
6
6
\newline
III.
5
5
5
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
5
+
2
x
≤
6
?
-5+2 x \leq 6 ?
−
5
+
2
x
≤
6
?
\newline
I.
14
14
14
\newline
II.
4
4
4
\newline
III.
−
2
-2
−
2
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
8
−
4
x
>
−
9
?
8-4 x>-9 ?
8
−
4
x
>
−
9
?
\newline
I.
−
2
-2
−
2
\newline
II.
7
7
7
\newline
III.
12
12
12
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
x
−
2
≥
6
?
x-2 \geq 6 ?
x
−
2
≥
6
?
\newline
I.
8
II.
9
III.
1
\begin{array}{lll}\text { I. } 8 & \text { II. } 9 & \text { III. } 1\end{array}
I.
8
II.
9
III.
1
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
1
>
x
+
1
1>x+1
1
>
x
+
1
?
\newline
I.
−
3
-3
−
3
\newline
II.
0
0
0
\newline
III.
−
1
-1
−
1
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the following values are solutions to the inequality
−
10
≤
2
x
+
10
-10 \leq 2 x+10
−
10
≤
2
x
+
10
?
\newline
I.
−
13
-13
−
13
\newline
II.
−
2
-2
−
2
\newline
III.
−
10
-10
−
10
\newline
None
\newline
I only
\newline
II only
\newline
III only
\newline
I and II
\newline
I and III
\newline
II and III
\newline
I, II and III
Get tutor help
Which of the
s
s
s
-values satisfy the following inequality?
\newline
7
−
s
2
>
3
7-\frac{s}{2}>3
7
−
2
s
>
3
\newline
Choose all answers that apply:
\newline
A
s
=
6
s=6
s
=
6
\newline
B
s
=
8
s=8
s
=
8
\newline
C
s
=
10
s=10
s
=
10
Get tutor help
Which of the
p
p
p
-values satisfy the following inequality?
\newline
5
≥
2
p
+
1
5 \geq 2 p+1
5
≥
2
p
+
1
\newline
Choose all answers that apply:
\newline
A
p
=
0
p=0
p
=
0
\newline
B
p
=
1
p=1
p
=
1
\newline
C
p
=
2
p=2
p
=
2
Get tutor help
−
11
x
≥
−
33
-11 x \geq-33
−
11
x
≥
−
33
\newline
Which of the following best describes the solutions to the inequality shown?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
≤
−
3
x \leq-3
x
≤
−
3
\newline
(B)
x
≥
−
3
x \geq-3
x
≥
−
3
\newline
(C)
x
≤
3
x \leq 3
x
≤
3
\newline
(D)
x
≥
3
x \geq 3
x
≥
3
Get tutor help
3
2
q
≤
9
2
q
−
18
\frac{3}{2} q \leq \frac{9}{2} q-18
2
3
q
≤
2
9
q
−
18
\newline
Which of the following best describes the solutions to the inequality shown?
\newline
Choose
1
1
1
answer:
\newline
(A)
q
≤
3
q \leq 3
q
≤
3
\newline
(B)
q
≥
3
q \geq 3
q
≥
3
\newline
(C)
q
≤
6
q \leq 6
q
≤
6
\newline
(D)
q
≥
6
q \geq 6
q
≥
6
Get tutor help
Find the missing factor
D
D
D
that makes the equality true.
\newline
−
15
y
4
=
(
D
)
(
3
y
2
)
D
=
□
\begin{array}{l} -15 y^{4}=(D)\left(3 y^{2}\right) \\ D=\square \end{array}
−
15
y
4
=
(
D
)
(
3
y
2
)
D
=
□
Get tutor help
Which of the following is not a solution of the inequality
−
8
<
7
−
5
x
-8<7-5 x
−
8
<
7
−
5
x
?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B)
1
1
1
\newline
(C)
2
2
2
\newline
(D)
3
3
3
Get tutor help
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